Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 5141, 5146 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5141 and 5146 is 1.
GCF(5141,5146) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5141
53 | 5141 |
97 | 97 |
1 |
Prime factors of 5141 are 53,97. Prime factorization of 5141 in exponential form is:
5141 = 531×971
Prime Factorization of 5146
2 | 5146 |
31 | 2573 |
83 | 83 |
1 |
Prime factors of 5146 are 2,31,83. Prime factorization of 5146 in exponential form is:
5146 = 21×311×831
∴ So by taking common prime factors GCF of 5141 and 5146 is 1
Factors of 5141
List of positive integer factors of 5141 that divides 5141 without a remainder.
1,53,97,5141
Factors of 5146
List of positive integer factors of 5146 that divides 5146 without a remainder.
1,2,31,62,83,166,2573,5146
Greatest Common Factor
We found the factors and prime factorization of 5141 and 5146. The biggest common factor number is the GCF number.
So the greatest common factor 5141 and 5146 is 1.
Also check out the Least Common Multiple of 5141 and 5146
(i) The GCF of 5141 and 5146 is associative
GCF of 5141 and 5146 = GCF of 5146 and 5141
1. What is the GCF of 5141 and 5146?
Answer: GCF of 5141 and 5146 is 1.
2. What are the Factors of 5141?
Answer: Factors of 5141 are 1, 53, 97, 5141. There are 4 integers that are factors of 5141. The greatest factor of 5141 is 5141.
3. What are the Factors of 5146?
Answer: Factors of 5146 are 1, 2, 31, 62, 83, 166, 2573, 5146. There are 8 integers that are factors of 5146. The greatest factor of 5146 is 5146.
4. How to Find the GCF of 5141 and 5146?
Answer:
Greatest Common Factor of 5141 and 5146 = 1
Step 1: Find the prime factorization of 5141
5141 = 53 x 97
Step 2: Find the prime factorization of 5146
5146 = 2 x 31 x 83
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 5141 and 5146 is 1